mathsurgery - Edexcel module 1-16

Introduction to angles & angle rules
|||| Unit 1 Module 1-16 of 17

Contents: Lines and angles	Time: 2 – 4 hours
SPECIFICATION REFERENCE
GM t	Measure and draw lines and use a protractor to measure and draw angles of all sizes
GM t	Use a protractor to draw angles accurately
GM a	Use the fact that angles at a point add to 360°
PRIOR KNOWLEDGE
An understanding of angle as a measure of turning The ability to use a ruler and protractor
OBJECTIVES Lesson plans
Estimate the size of an angle in degrees (assumed) Measure and draw angles to the nearest degree (assumed) Measure and draw lines to the nearest mm (assumed) Use angle properties ‘at a point’ to calculate unknown angles (3.1)
DIFFERENTIATION & EXTENSION
Extend to other angle facts in triangles, parallel lines and/or quadrilaterals (preparation for Unit 2)
NOTES
Make sure that all pencils are sharp and drawings are neat and accurate Angles should be correct to within 2°, lengths correct to the nearest mm Apply skills to constructing pie charts

Introduction to angles & angle rules

|||| Unit 2 Module 2-14 of 20

Contents: Lines and angles*	Time: 2 – 4 hours
SPECIFICATION REFERENCE
GM t	Measure and draw lines and use a protractor to measure and draw angles of all sizes
GM t	Use a protractor to draw angles accurately
GM a	Use the fact that angles at a point add to 360°
PRIOR KNOWLEDGE
An understanding of angle as an amount of rotation or a measure of turning Experience of using a ruler and a protractor
OBJECTIVES Lesson plans
Distinguish between acute, obtuse, reflex and right angles (assumed) Estimate the size of an angle in degrees (assumed) Measure and draw angles to the nearest degree (assumed) Measure and draw lines to the nearest mm (assumed) Use angle properties at a point to calculate unknown angles (assumed)
DIFFERENTIATION & EXTENSION
Extend to other angle facts in triangles, parallel lines and/or quadrilaterals (prep for next topic)
NOTES
Make sure that all pencils are sharp and drawings are neat and accurate Angles should be correct to within 2°, lengths correct to the nearest mm Apply skills to constructing pie charts (Unit 1)

Introduction to angles & angle rules
|||| Unit 2 Module 2-15 of 20

Contents: Angle facts	Time: 3 – 5 hours
SPECIFICATION REFERENCE
GM c	Definitions and names of polygons
GM b, d	Properties of angles, triangles and quadrilaterals
GM b	Geometric proof
GM b	Angles associated with parallel lines
GM b, c	Calculate and use the sums of the interior angles of quadrilaterals, pentagons and hexagons
GM c	Calculate and use the angles of regular polygons
GM c	Understand that inscribed regular polygons can be constructed by equal divisions of a circle
PRIOR KNOWLEDGE
The concept of parallel lines The concept of vertical and horizontal The concept of an angle between two lines Experience in drawing triangles, quadrilaterals and circles
OBJECTIVES Lesson plans
Name a polygon with 3, 4, ..., 10 sides (13.6) Identify triangles by their properties (scalene, isosceles, equilateral, right-angled, obtuse, and acute) (assumed) Prove the angle sum in a triangle is 180° (13.2) Use the angle properties of a triangle to find missing angles (assumed) Prove the exterior angle of a triangle is equal to the sum of the two opposite interior angles (13.2) Identify quadrilaterals by their properties (trapezium, parallelogram, rhombus, rectangle, square, kite and arrowhead) (12.2) Use alternate and corresponding angles in parallel lines to find missing angles (13.1, 13.4) Calculate and use the sums of the interior angles of convex polygons of sides 3, 4, 5, 6, 8, 10 (13.6) Know, or work out, the relationship between the number of sides of a polygon and the sum of its interior angles (13.6) Know that the sum of the exterior angles of any polygon is 360° (13.6) Find the size of each exterior/interior angle of a regular polygon (13.6)
DIFFERENTIATION & EXTENSION
Use triangles to find the angle sums of polygons Use the angle properties of triangles to find missing angles in combinations of triangles Harder problems involving multi-step calculations Extend to bearings (Unit 3) Link with symmetry and tessellations